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What are different ways you can add?

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Presentation on theme: "What are different ways you can add?"— Presentation transcript:

1 What are different ways you can add?
Solve the following: = =

2 What is the difference or similarities when adding whole numbers and decimals?
Solve the following: = =

3 What is the difference or similarities when adding whole numbers and decimals?
= = =

4 Place Value The number 1147.63 is one hundred less than 1247.63
The place value chart below shows Thousands Hundreds Tens Ones Decimal Point Tenths Hundredths 1 2 4 7 . 6 3 The number is one more than The number is one hundred less than The number is two tenths more than

5 Review Where is the decimal place? 34 $5698 508 67.89 HIDDEN DECIMAL

6 Review Arrange each set of numbers from greatest to least! What strategy did you use? A) 1.8, 2.8, 1.9 B) 365.7, 358, 365.9

7 Review – Learn Alberta Place Values

8 Review – Adding and Subtracting Decimals
What do you need to do? Line up the decimals Add zeros into place values that are empty (if you wish) Ex: =

9 Review – Adding and Subtracting Decimals
What do you need to do? Line up the decimals Add zeros into place values that are empty (if you wish) Ex: =

10 2.1 Add and Subtract Decimals Student Outcome: I can use different strategies to estimate decimals.
Pg 44 Vocabulary: Estimate: to approximate an answer Overestimate: Estimate that is larger than the actual answer Underestimate: Estimate that is smaller than the actual answer

11 Show me what you know? Can you work at wal mart?
I will show you 6 items. You will write down the item actual cost and then estimate your bill total - wal mart link Item Description Actual cost 1. 2. 3. 4. 5. 6.

12 Using front-end estimation: 290 is an ok estimation
Front-End Estimation Student Outcome: I can use different strategies to estimate decimals. Front End Estimation: keep the leading (front) digit and then add zeros behind Example #1 = = Using front-end estimation: 290 is an ok estimation

13 Using front-end estimation: 400 is a good estimation
Front-End Estimation Student Outcome: I can use different strategies to estimate decimals. Front End Estimation: keep the leading (front) digit and then add zeros behind Example #2 = = Using front-end estimation: 400 is a good estimation

14 Front-End Estimation Student Outcome: I can use different strategies to estimate decimals.
keep the leading (front) digit and then add zeros behind Example # = ____ + _____ + ____ = _______ Example # – = ___ - ____ = _________

15 Using relative size: 170.00 is a good estimation
Relative Size Student Outcome: I can use different strategies to estimate decimals. Use Relative Size: Estimating each number to the nearest ten, hundred, thousand etc. Example #1 = 87.85 is between 80 and 90, and closer to 90.00 14.60 is between 10 and 20, and closer to 10.00 73.52 is between 70 and 80, and closer to 70.00 = Start here october 2, 200 Using relative size: is a good estimation

16 Relative Size Student Outcome: I can use different strategies to estimate decimals.
Use Relative Size: Estimating each number to the nearest ten, hundred, thousand etc. Example # = ____ + ____ = ________ Example # – = _____ - ____ + _____ = _______ Start here october 2, 200

17 Using compensation: 170 is a good estimation
Compensation Student Outcome: I can use different strategies to estimate decimals. Use Compensation: (try to round up - round down) Estimating each number to the nearest ten, hundred, thousand etc. Example #1 = 87.85 is closer to (round up) 14.60 is closer to (round down) 73.52 is closer to (round down) = Start here october 2, 200 Using compensation: 170 is a good estimation

18 Compensation Student Outcome: I can use different strategies to estimate decimals.
Use Compensation: (try to round up - round down) Estimating each number to the nearest ten, hundred, thousand etc. Example # – = 64.14 ____ + ____ - ____ = ____ Example # – = _____ - _____ = _____ Start here october 2, 200

19 Compatible (Friendly) Numbers Student Outcome: I can use different strategies to estimate decimals.
Use Compatible numbers: (5’s, 10’s 50’s 100’s 1000’s) Example #1 = 87.85 is closer to 90 or 85 14.60 is closer to 10 or 15 73.52 is closer to 70 or 75 Two possible answers, but still others = or = 175 Start here october 2, 200

20 Try It On Your Own! Rewrite each question using front-end estimation.
____ + ____ + ____ = ____ B) $ $ = $264.74 _________ - ________ = ________ Is your estimate higher or lower than the calculated answer? _____________

21 Try It On Your Own! Use any strategy to estimate the answers.
____ + ____ + ____ = ____ B) $ $ = $264.74 ________ - ______ = _______

22 Try It On Your Own! Using estimation, where would you put the decimal point in the answer? Why? A) = ______ + ______+ ______ = _______ B) $ $210.38= $26474 _______ - _______ = _______

23 Try These On Your Own! For Homework Due Tomorrow!
Page 48. #1, 4, 7, 11, 14, 15, 20, 22, 25 and Handout 2.1

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28 Assignment – Let’s go shopping
Student’s will receive their handout to select their items and money to purchase merchandise.

29 _______ - _______ = _______
Practical Quiz #1 Using Estimation, fill in the blanks where would you put the decimal point in the answer? A) $ $ = $5238 _______ - _______ = _______ B) Solve =

30 Multiplying Decimals Learn Alberta
Slides 1, 4, 5

31 Multiplying Decimal Numbers Student Outcome: I can estimate by +,-,x,÷ decimals.
Problem: Page 52 Ashley and Marshall’s family keep busy travelling across the country by solving sudoku puzzles! During a stop, they look in a convenience store for more puzzles. Marshall finds sudoku books on sale for $1.69. he wants to buy five books and has $9.00. Help him estimate the total cost of the five puzzle books! $1.69 x 5 = ______?

32 Multiplying Decimal Numbers Student Outcome: I can estimate by +,-,x,÷ decimals.
1. Marshall estimates the total bill as $5.00 a) How do you think Marshall got his estimate? b) Is Marshall’s estimate over or under the total? How do you know? 2. Ashley estimates the total bill as $10.00 a) How do you think Ashley got her estimate? b) Is Ashley’s estimate over or under the total?

33 Sudoku DID YOU KNOW!!!! Sudoku was invented hundreds
of years ago, and traded around the world by ancient mathematicians. Each digit from 1 to 9 must occur in: Each row Each column Each 3 x 3 square.

34 Multiplying Decimals Student Outcome: I can estimate by +,-,x,÷ decimals.
Use front-end estimation and relative size to estimate: 2.65 x 3.72 Front-End Estimation: Relative Size: (are there easier #’s to use) Compensation:

35 Multiplying Decimals Student Outcome: I can estimate by +,-,x,÷ decimals.
Estimate to make sure your answer is reasonable! Multiply 1.54 x 25 What strategy will you use? - old school multiplying -box method Chinese lines

36 Multiplying Decimals Student Outcome: I can estimate by +,-,x,÷ decimals.
Use a calculator to solve the equation: Multiply 1.54 x 25 Things I know: 25 x 1 = 25 Things I know 25 x 2 = 50 Why would the answer lie between 25 and 50.

37 Multiplying Decimals Student Outcome: I can estimate by +,-,x,÷ decimals.
Using paper and pencil Multiply without decimals add decimals to product Estimate an answer. Why? Ex: 2.6 x 3.7= 26 x 37 962

38 Practice Makes Perfect
Page 57 2, 3, 6ab, 9, 12, 14,18, 19, 21

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43 Dividing Decimals Learn Alberta
Slides 6-9

44 Dividing Decimal Numbers Student Outcome: I can estimate by +,-,x,÷ decimals.
Example 1: A) 15.4 ÷ 3.6 = Front-End Estimation: Things I know: 15 ÷ 3 = 5 The answer closest to 5 is

45 Dividing Decimals Student Outcome: I can estimate by +,-,x,÷ decimals.
Estimate to make sure your answer is reasonable! Divide ÷ 2.5 What strategy will you use? long division big “7”

46 Dividing Decimal Numbers Using a Number Line
Ex: 10 ÷ 2 =

47 Use Estimation to Place the Decimal Point
Use Estimation to Place the Decimal Point. Student Outcome: I can problem solve using decimals. Example #2: Four friends buy 1.36L of pure orange juice and divide it equally. A) Estimate each person’s share. B) Calculate each person’s share.

48 Use Estimation to Place the Decimal Point.
Solution: A) To estimate, round 1.36L to a number that is easier to work with. Try 1.2 1.2 ÷ 4 = Underestimate Try 1. 1.6 ÷ 4 = Overestimate Things I know 12 ÷ 4 = 3 So 1.2 ÷ 4 = 0.3 16 ÷ 4 = 4 So 1.6 ÷ 4 = 0.4

49 Dividing Decimals Student Outcome: I can problem solve using decimals.
Problem Questions: 1. How many pens do you think you can buy with $6.00 if one pen costs $0.40 Use both front-end estimation and relative size estimation to find your educated guess. Strategy Used:

50 Working Together!! Pg 66 #10 A package of 7 fish hooks costs $17.99
How much will one fish hook cost? Estimate Calculate- by hand and with calculator Did you over/under estimate? ANSWER: $17.99 ÷ 7 = $2.57

51 Working Together! Pg 66 #11 Ashley wants to find how many 355 mL cans of juice are in a 2-L bottle. A) Show Ashley how to estimate the answer B) Show Ashley how to calculate the answers

52 Assignment Page 65 – 67 #1, 4, 8, 12, 13, 14, 17, 19, 22

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57 Practical Quiz #2 What is the cost of each purchase before tax? Show your work!! 3 oatmeal cereal bars for $7.50

58 BEDMAS Student Outcome: I can solve problems using order of operations.
Remember the order by the phrase B - BRACKETS E - EXPONENTS D/M – DIVIDE OR MULTIPLY A/S – ADD OR SUBTRACT

59 The “B” and “E” Student Outcome: I can solve problems using order of operations.
The “B” stands for items in brackets Do all items in the brackets first (2 + 3) The “E” stands for Exponents Do anything that has a exponent (power) 82

60 The “DM” Student Outcome: I can solve problems using order of operations.
Represents divide and multiply Do which ever one of these comes first in the problem Work these two operations from left to right

61 The “AS” Student Outcome: I can solve problems using order of operations..
Represents Add and Subtract Do which ever one of these comes first Work left to right You can only work with 2 numbers at a time.

62 1) 5 + (12 – 3) 5 + 9 14 2) 8 – 3 x 2 + 7 9 3) 39 ÷ (9 + 4) 39 ÷ 13 3

63 15 x 103 15 x 1,000 15 000 ÷ 2 – 6 8 36 ÷ (1 + 2)2 36 ÷ 32 36 ÷ 9 4 7) 3 x 104 3 x 30 000

64 14 + 3(7 -2) – 2 x 5 x x 5 x 5 – 10 29 – 10 19 (5 – 1)3 ÷ 4 43 ÷ 4 64 ÷ 4 16

65 Order of Operations – Learn Alberta

66 Let’s Practice Student Outcome: I can solve problems using order of operations.
Place the operations shown in square brackets to make each statement true. 9__ 5__5 = (+, x) 15 __ 3 __2 = 24 (x,-)

67 Let’s Practice Student Outcome: I can solve problems using order of operations.
What are the missing numbers? A) _____ + 5 x 6 = 32 B) _____ ÷ 0.5 = 5

68 Assignment Page 71-73 # 1, 5, 6ab, 9ab, 11, 15, 17, 22, 23

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73 Practical Quiz #3 Solve. Show all your steps.
On the front: – 3 x 5 On the back (2 x 3) – ÷ 4

74 Assignment – Chapter Review
Page 74-75 #1-4, 5ab, 6ab, 7ab, 8, 9ab, 10-12, 13ab, 14ab, 15, 16, 17ab, 18ab, 19ab, 20ab

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77 Assignment – Wrap it Up!! Page 77
This will be completed at home using a computer. Please fill in all blanks with parent. Student to receive handout for support.

78 GAME – Page 78


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